Multiple choice

A and B can do a work in 18 days, B and C can do the same work in 24 days while A and C can do the same work in 36 days. If A, B and C work together in how many days will the work be completed?

  1. 4 days

  2. 8 days

  3. 16 days

  4. 32 days

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A, B, C be work rates. A+B = 1/18, B+C = 1/24, A+C = 1/36. Add all: 2(A+B+C) = 1/18 + 1/24 + 1/36 = 4/72 + 3/72 + 2/72 = 9/72 = 1/8. So A+B+C = 1/16. Together they complete the work in 16 days. Option C (16 days) is correct.

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